Finding the Fourth Proportional to 97,814.68, 134,983.74 and 53,102.68
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Solution
The fourth proportional to 97,814.68, 134,983.74 and 53,102.68 is: 73,281.42
Step by Step Solution
- Step 1: Write the proportion equation
97,814.68 : 134,983.74 = 53,102.68 : x - Step 2: Convert to fraction form
97,814.68/134,983.74 = 53,102.68/x - Step 3: Cross multiply
97,814.68x = 134,983.74 × 53,102.68 - Step 4: Simplify right side
97,814.68x = 7,167,998,350.42 - Step 5: Solve for x
x = 7,167,998,350.42/97,814.68 - Step 6: Final answer
x = 73,281.42
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.